SOLUTION: Given that tan θ − cot θ = 2,
find the possible values of tan θ, giving your answers in an exact form.
Hence solve the equation
tan θ ͨ
Algebra.Com
Question 992819: Given that tan θ − cot θ = 2,
find the possible values of tan θ, giving your answers in an exact form.
Hence solve the equation
tan θ − cot θ = 2
giving all values of θ between 0 and 360
I'm very confused how the questions are different? I really don't understand what the first question is asking me to do.
Answer by ikleyn(52814) (Show Source): You can put this solution on YOUR website!
.
Let x be tan(x): x = tan(x).
Then cot(x) = , and you have an equation
x - = 2.
Simplify and solve it:
- - = ,
= .
The root is x = 1.
Thus tan(x) = 1.
x = = 45° and/or x = = = 225°.
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